{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "96cc5127-1b7e-45ea-a4eb-868af54e2043",
   "metadata": {},
   "source": [
    "Chapter 19\n",
    "\n",
    "# 典型相关分析\n",
    "Book_7《机器学习》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "93043860-cc2f-496d-8952-1bb840b4916b",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cross_decomposition import CCA\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "import pandas as pd  \n",
    "import seaborn as sns \n",
    "from sklearn.datasets import load_iris"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4b36df74-355b-4359-b769-950bf8d81c2e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load the iris data\n",
    "iris_sns = sns.load_dataset(\"iris\") \n",
    "\n",
    "#%% heatmap of iris data\n",
    "\n",
    "X_df = iris_sns[['sepal_length', 'sepal_width', \n",
    "                 'petal_length', 'petal_width']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b7245e78-44ad-41e2-99cb-c71dc4c226ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(X_df,cmap='RdBu_r')\n",
    "# h.set_aspect(\"equal\")\n",
    "\n",
    "#%% correlation of iris data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "55c1860a-d1ab-460e-a333-62ee3b1c805f",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\james\\AppData\\Local\\Temp\\ipykernel_8644\\2331532028.py:3: FutureWarning: The default value of numeric_only in DataFrame.corr is deprecated. In a future version, it will default to False. Select only valid columns or specify the value of numeric_only to silence this warning.\n",
      "  h = sns.heatmap(iris_sns.corr(),cmap='RdBu_r', linewidths=.05,\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(iris_sns.corr(),cmap='RdBu_r', linewidths=.05,\n",
    "                vmax = 1, vmin = -1,\n",
    "                annot=True,fmt='.2f')\n",
    "h.set_aspect(\"equal\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b3910551-28f2-4ee4-88c6-b15d2bd2e743",
   "metadata": {},
   "outputs": [],
   "source": [
    "#%% seperate the data set into X and Y\n",
    "\n",
    "# Sepal\n",
    "X = iris_sns[['sepal_length', 'sepal_width']]\n",
    "\n",
    "# Petal\n",
    "Y = iris_sns[['petal_length', 'petal_width']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b11b7c71-c2db-40be-9db2-0c34fe46aed2",
   "metadata": {},
   "outputs": [],
   "source": [
    "#%% Canonical Correlation Analysis\n",
    "\n",
    "Iris_CCA = CCA(n_components=2)\n",
    "# only centra\n",
    "Iris_CCA.fit(X, Y)\n",
    "S, T = Iris_CCA.transform(X, Y)\n",
    "\n",
    "# S.mean(axis = 0) # test only\n",
    "# T.mean(axis = 0) # test only"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "4f28750e-54f8-4fc9-b173-2bc0daaaebea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% visualize the results\n",
    "\n",
    "S_T_df = pd.DataFrame({\"s1\":S[:, 0],\n",
    "                       \"s2\":S[:, 1],\n",
    "                       \"t1\":T[:, 0],\n",
    "                       \"t2\":T[:, 1]})\n",
    "\n",
    "fig, axs = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(S_T_df,cmap='RdBu_r')\n",
    "# h.set_aspect(\"equal\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9a4caeae-ddab-40d9-981c-49be99cb5006",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(S_T_df.corr(),cmap='RdBu_r', \n",
    "                linewidths=.05,\n",
    "                vmax = 1, vmin = -1,\n",
    "                annot=True,fmt='.2f')\n",
    "h.set_aspect(\"equal\")\n",
    "\n",
    "# test only\n",
    "# print(S_T_df.mean())\n",
    "\n",
    "#%%"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a5b4dec5-449a-4fc7-b766-04a4ac41c549",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x138bedc9540>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 600x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% scatter with marginals\n",
    "\n",
    "sns.jointplot(data=S_T_df, x=\"s1\", y=\"t1\", \n",
    "              xlim = (-3,3), ylim = (-2,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2d35e436-c0cc-43b1-b34e-639c661cd2b0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x138aa0b7760>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 600x600 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% scatter with marginals, consider lables\n",
    "\n",
    "S_T_df_species = pd.DataFrame({\"s1\":S[:, 0],\n",
    "                        \"s2\":S[:, 1],\n",
    "                        \"t1\":T[:, 0],\n",
    "                        \"t2\":T[:, 1],\n",
    "                        \"Species\":iris_sns.species.tolist()})\n",
    "\n",
    "\n",
    "sns.jointplot(data=S_T_df_species, \n",
    "              x=\"s1\", y=\"t1\", \n",
    "              hue = 'Species',\n",
    "              xlim = (-3,3), ylim = (-2,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d841bc3d-9083-43f3-8c20-daac7b7bd9c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1200x1200 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% 2 * 2 scater plot\n",
    "\n",
    "fig = plt.figure(figsize = (12,12))\n",
    "\n",
    "plt.subplot(2, 2, 1)\n",
    "sns.scatterplot(x=\"s1\",\n",
    "                y=\"t1\", \n",
    "                data=S_T_df_species)\n",
    "\n",
    "\n",
    "plt.subplot(2, 2, 2)\n",
    "sns.scatterplot(x=\"s2\",\n",
    "                y=\"t1\", \n",
    "                data=S_T_df_species)\n",
    "\n",
    "plt.subplot(2, 2, 3)\n",
    "sns.scatterplot(x=\"s1\",\n",
    "                y=\"t2\", \n",
    "                data=S_T_df_species)\n",
    "\n",
    "plt.subplot(2, 2, 4)\n",
    "sns.scatterplot(x=\"s2\",\n",
    "                y=\"t2\", \n",
    "                data=S_T_df_species)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "e2cd0b64-591d-4c56-b212-539057d25995",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.PairGrid at 0x1389a7f35b0>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 20 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% pairwise plot\n",
    "\n",
    "g = sns.pairplot(S_T_df_species, diag_kind=\"kde\")\n",
    "g.map_lower(sns.kdeplot, levels=8, color=\"k\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "d2889958-776d-483d-a658-454856366fb0",
   "metadata": {},
   "outputs": [],
   "source": [
    "#%% standardize original X Y\n",
    "# z scores\n",
    "\n",
    "X_c = (X - X.mean())/X.std()\n",
    "Y_c = (Y - Y.mean())/Y.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "9d401790-0f18-4e99-af53-26a24f3d8807",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% a, two vectors to project X\n",
    "\n",
    "U = Iris_CCA.x_rotations_\n",
    "V = Iris_CCA.y_rotations_\n",
    "\n",
    "# print(Iris_CCA.x_rotations_)\n",
    "# print(Iris_CCA.x_rotations_[:,[0]])\n",
    "# print(Iris_CCA.y_rotations_)\n",
    "# print(Iris_CCA.y_rotations_[:,[0]])\n",
    "\n",
    "u1 = U[:,[0]]\n",
    "v1 = V[:,[0]]\n",
    "\n",
    "fig, axs = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(U,cmap='RdBu_r', \n",
    "                linewidths=.05,\n",
    "                vmax = 1, vmin = -1,\n",
    "                annot=True,fmt='.2f')\n",
    "h.set_aspect(\"equal\")\n",
    "\n",
    "fig, axs = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(V,cmap='RdBu_r', \n",
    "                linewidths=.05,\n",
    "                vmax = 1, vmin = -1,\n",
    "                annot=True,fmt='.2f')\n",
    "h.set_aspect(\"equal\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "093c68e2-301c-4579-bc34-d28c073c0ad4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAg4AAAGjCAYAAABE0Z2UAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAA9hAAAPYQGoP6dpAABbtklEQVR4nO3de1hU1f4/8PdwFeRioIJkgCneL5iY1wR/mkql2MVLGqlZWWaKdkwxS6wUUY9p3rVSy2N6zlGIzFAsRMsbgnbMFFBRTCFSkbvcZv3+cJyvo4MOsPfsPfJ+Pc9+HtmzZ+33zIAs1l57fTRCCAEiIiIiE1gpHYCIiIgsBzsOREREZDJ2HIiIiMhk7DgQERGRydhxICIiIpOx40BEREQmY8eBiIiITMaOAxEREZmMHQciIiIyGTsOREREZDJFOw6rVq1Cs2bNUK9ePXTp0gUHDhxQMg4RERE9gGIdh23btiEsLAwffPABjh8/jqeeegrBwcHIzMxUKhIRERE9gEapIlfdunXDE088gdWrV+v3tWnTBkOHDkVkZKQSkYiIiOgBFBlxKCsrQ3JyMgYMGGCwf8CAATh48KASkYiIiMgEinQcrl69isrKSnh4eBjs9/DwQHZ2thKRiIiIyAQ2Sp5co9EYfC2EuGcfAJSWlqK0tNRg3+IDF2FjZydrPjLdrIYZSkcgnYEH6isdgXQ0Vvf+f0bK2Dupt+zneEvjK0k7a8QFSdqRiyIjDg0bNoS1tfU9ows5OTn3jEIAQGRkJFxdXQ22A1vXmisuERHRA1lrpNmqY/Xq1ejYsSNcXFzg4uKCHj164Mcff5TnBeooMuJgZ2eHLl26ID4+Hs8//7x+f3x8PEJCQu45Pjw8HNOmTTPY99b235H+V4HsWck0Zzv2VDoC6f2mdACiOsnayIi53Jo2bYoFCxagRYsWAIBNmzYhJCQEx48fR7t27WQ5p2KXKqZNm4bQ0FAEBASgR48eWLduHTIzM/HWW2/dc6y9vT3s7e0N9lnb8jIFERHVbYMHDzb4et68eVi9ejUOHz788HUcRowYgWvXruHjjz9GVlYW2rdvj127dsHHx8ek51/6u0jmhFQdvi62SkcgncpKrdIRSMfGylrpCGRG1b3MUBVj8/qM/QF9t8rKSvznP/9BUVERevToIU0YIxRdOXLixIm4cOECSktLkZycjD59+igZh4iIqMasNRpJNmPz+u63vtHJkyfh5OQEe3t7vPXWW4iOjkbbtm1le52K3lVBREREhozN67vfaEOrVq1w4sQJ3LhxA9u3b8eYMWOQmJgoW+fBYjsON4vKlY5Ad7hRxuFxtXB04GUjtSir4M9FXSLVpQpTLkvcyc7OTj85MiAgAElJSVi2bBnWrpXn7kOL7TgQERGpiRJ3VRgjhLhnjoSULLbj0K3dves9kHIaHPqX0hFIp7SsjdIRSIcLQJHcZs2aheDgYDz22GMoKCjA1q1bsW/fPsTFxcl2TsUmR16+fBmvvPIK3N3d4ejoCH9/fyQnJysVh4iIqFaUWADqr7/+QmhoKFq1aoV+/frhyJEjiIuLw9NPPy3Pi4RCIw65ubno1asX+vbtix9//BGNGzfGuXPn0KBBAyXiEBER1ZoSlyq+/PJLs59TkY5DVFQUHnvsMWzYsEG/z9fXt1pt9GnhLnEqqo2Ly+UbFqPq8ejdWekIpONW3/QJbkSWQpFLFbGxsQgICMCwYcPQuHFjdO7cGevXr1ciChERkSSsJNrUTpERh/Pnz2P16tWYNm0aZs2ahaNHj2Ly5Mmwt7fHq6++alIbi777Q+aUVB2/zvpI6Qik81csa7ioRaVWKB2BzEgtd1XITZGOg1arRUBAAObPnw8A6Ny5M06dOoXVq1cb7TgYW35TW1EGKxvWqyAiInWQah0HtVNkVKRJkyb3rGjVpk0bZGZmGj3e2PKbV/ZvNUdUIiIiuoMiIw69evVCamqqwb60tLQqC1wZW34zPC4dNqyQqSKVSgcgHXs7FlZSi2uFZUpHIDPipQoZTZ06FT179sT8+fMxfPhwHD16FOvWrcO6deuMHm9s+U12GoiISE3qyqUKRToOXbt2RXR0NMLDw/Hxxx+jWbNmWLp0KUaPHm1yG3v2Z8iYkKrrl449lY5AOqVlp5WOQDpcOZIeRootOf3cc8/hueeeU+r0REREkuKlCiIiIjIZL1WoXEAXL6Uj0B1aNXRQOgLpcHKkeuTnyVehkEgpFttxICIiUhNeqlC5oZ044qAmjjuilI5AeoOUDkA69erbKh2BzKiuXKqQfAGo/fv3Y/DgwfDy8oJGo0FMTIz+sfLycsyYMQMdOnRA/fr14eXlhVdffRVXrlyROgYRERHJQPKOQ1FRETp16oQVK1bc81hxcTFSUlLw4YcfIiUlBTt27EBaWhqGDBkidQwiIiKzstZIs6md5JcqgoODERwcbPQxV1dXxMfHG+xbvnw5nnzySWRmZsLb29vk82w8dLFWOUlaQwe8oHQE0rHbe1PpCKRTVqFVOgKZEec4mEleXh40Gg0aNGigdBQiIqIas4TRAiko2nG4efMmZs6ciVGjRsHFxaXK44xVx6wsL4M1l51WjXSHx5WOQDoFxb8pHYF0SksqlI5AJDlFqmMCtyZKjhw5ElqtFqtWrbrvscaqY56N+9pMSYmIiB7MWqORZFM7RToO5eXlGD58ODIyMhAfH3/f0QbgVnXMvLw8g63FoFfNlJaIiOjBODlSJrc7Denp6UhISIC7u/sDn2OsOmbqyatyRaSaCGmndALSKcrnaoVqYWPLVTzp4SN5x6GwsBBnz57Vf52RkYETJ07Azc0NXl5eeOmll5CSkoKdO3eisrIS2dnZAAA3NzfY2XHOAhERWSZLuMwgBY0QQkjZ4L59+9C3b9979o8ZMwYRERFo1qyZ0eclJCQgKCjI5POcv1pQ04gkg6uvhCgdgXSm9f1Q6Qikw5Uj1WPvpN6ynyPaU5qR1+ezT0nSjlwkH3EICgrC/foiEvdTiIiIyIwUX8ehpkrK2QFRk692n1c6Aum4DLV/8EFkFo83clI6AplRXblUYbEdByIiIjWxqiMdB8XWcSAiIiLLI/mIw/79+7Fo0SIkJycjKysL0dHRGDp0qP7xwsJCzJw5EzExMbh27Rp8fX0xefJkvP3229U6z5mrhRInp9qY+sYTSkcgnQkl5UpHIKqTNJawCIMEzFodEwCmTp2KuLg4bN68GadPn8bUqVPx7rvv4rvvvpM6ChERkdlYWWsk2dTOrNUxAeDQoUMYM2aM/tbLN998E2vXrsWxY8cQEmL6LX2nsnk7ppqEvP2m0hFIx/oAr0Cqxd8FrFRal2is68bPntlfZe/evREbG4vLly9DCIGEhASkpaVh4MCB5o5CRERE1WT2uyo+//xzvPHGG2jatClsbGxgZWWFL774Ar17y784BxERkVzqyhwHRToOhw8fRmxsLHx8fLB//35MnDgRTZo0Qf/+/Y0+x1hZ7cF+brCz5/3qapHz5VKlI5COh/drSkcgnUot15upSyxhfoIUzHqpoqSkBLNmzcKSJUswePBgdOzYEZMmTcKIESOwePHiKp9nrKz2+uVLzJiciIiIADOPOJSXl6O8vBxWVob9FWtra2i12iqfFx4ejmnTphnsW3zgIrb/niVLTqq+15UOQHo3ink7plo41+Mae3WJxqpuTI40a3VMb29vBAYGYvr06XBwcICPjw8SExPx9ddfY8mSqkcQjJXVtmElTSIiUpG6cqlC8o7DsWPHDKpj3h4pGDNmDDZu3IitW7ciPDwco0ePxvXr1+Hj44N58+bhrbfekjoKERERSczs1TE9PT2xYcOGWp+nnadzrdsg6Xi8MkHpCKTTYD8vVahFTn7pgw+ihwbvqiAiIiKT1ZUFoCy248CVI9Xl6WM7lI5AOjdKBykdgXRaN3FROgKR5Cy240BERKQmnBxJREREJtNYseNQI5GRkdixYwfOnDkDBwcH9OzZE1FRUWjVqpXR4ydMmIB169bhs88+Q1hYmMnn2XXkkkSJSQrvBzRVOgLp/H2EJefVoqyi6vVp6OFjVUfmOEj+KhMTE/HOO+/g8OHDiI+PR0VFBQYMGICioqJ7jo2JicGRI0fg5eUldQwiIiKSgeQjDnFxcQZfb9iwAY0bN0ZycjL69Omj33/58mVMmjQJu3fvxrPPPlvt8zzT7bFaZyXpWHVurXQE0vHL4YqqauHnwdvG6xLejimRvLw8AICbm5t+n1arRWhoKKZPn4527drJHYGIiEh2daXjIOsFGSEEpk2bht69e6N9+/b6/VFRUbCxscHkyZPlPD0RERFJTNYRh0mTJuF///sffvnlF/2+5ORkLFu2DCkpKdBoTOudGSurfTgtG9a2rFehFtZ+JUpHIB1XR/5cqMWv6VeVjkC3DZT/FJwcWUvvvvsuYmNjkZCQgKZN/2/G/YEDB5CTkwNvb2/Y2NjAxsYGFy9exHvvvQdfX1+jbRkrq3027mu5ohMREVWbxlojyaZ2ko84CCHw7rvvIjo6Gvv27UOzZs0MHg8NDUX//v0N9g0cOBChoaEYN26c0TaNldUOj0uHDUccVCPdwUfpCKSTdeMPpSMQ0UNM8o7DO++8gy1btuC7776Ds7MzsrOzAQCurq5wcHCAu7s73N3dDZ5ja2sLT0/PKtd6MFpWm50GIiJSESsuAFUzq1evBnCrSuadNmzYgLFjx0p9OiIiIlVgkasaul9J7apcuHBB6hhkZn4l55WOQKQ6LHJFDyPWqiAiIpIAi1yp3OON6ysdge4gctOUjkA6ZRX8K1ctzmTlKx2BzMgS7oiQgsV2HIiIiNSkrsxxqBuvkoiI6CEUGRmJrl27wtnZGY0bN8bQoUORmpoq6zlluati9erV+gmP7dq1w0cffYTg4GAAtyZPzp07F+vWrUNubi66deuGlStXsmaFhdM84ql0BNIpLStQOgLpaOrI7Xl0ixJzHG5XpO7atSsqKirwwQcfYMCAAfjjjz9Qv748l/Ql7zg0bdoUCxYsQIsWLQAAmzZtQkhICI4fP4527dph4cKFWLJkCTZu3IiWLVvi008/xdNPP43U1FQ4O7OSHBERWSYlOoqmVqSWkuQdh8GDBxt8PW/ePKxevRqHDx9G27ZtsXTpUnzwwQd44YUXANzqWHh4eGDLli2YMGGCyeeJPnpJ0txUOxPeelLpCKTj7Pib0hFIp/BmhdIRyAIZq89kbCFEY4xVpJaarHMcKisrsXXrVhQVFaFHjx7IyMhAdnY2BgwYoD/G3t4egYGBOHjwoJxRiIiIZGVlbSXJZqw+U2Rk5APPX1VFaqnJclfFyZMn0aNHD9y8eRNOTk6Ijo5G27Zt9Z0DDw8Pg+M9PDxw8eLFap3DuT6XnFaTG2VapSMQESlKqtsxjdVnMmW0wVhFajnI0nFo1aoVTpw4gRs3bmD79u0YM2YMEhMT9Y/fXU5bCHHfEtvGhm0qy8tYVpuIiB46pl6WuNPtitT79+83qEgtB1kuVdjZ2aFFixYICAhAZGQkOnXqhGXLlsHT89bM+9uFr27Lycm5ZxTiTiyrTUREaqextpJkqw4hBCZNmoQdO3bg559/vqcitRzMsgCUEAKlpaVo1qwZPD09ER8fj86dOwMAysrKkJiYiKioqCqfb2zYZlf6NdjaVa9HRvJplJuudATSKavgZSO1YK2KukVjZf6lkR5UkVoOknccZs2aheDgYDz22GMoKCjA1q1bsW/fPsTFxUGj0SAsLAzz58+Hn58f/Pz8MH/+fDg6OmLUqFFVtmls2MbWrlDq6ERERDVmpcDKkUpUpJa84/DXX38hNDQUWVlZcHV1RceOHREXF4enn34aAPD++++jpKQEEydO1C8AtWfPnmqv4fBn/k2po1MtJIx8Q+kIdNu7y5ROQDonzl5TOgI95GpSkbq2JO84fPnll/d9XKPRICIiAhEREVKfmoiISDF1pVYFi1wRERFJgB0HlWvXmMtTq0lOTpHSEUintKxS6QikU6++rdIRiCRnsR0HIiIiNVHirgolWGzHYdOR6q00SfJadDZJ6Qiks/lb1qpQC94aW7dorK2VjmAWknePVq9ejY4dO8LFxQUuLi7o0aMHfvzxR4NjTp8+jSFDhsDV1RXOzs7o3r07MjMzpY5CREREEjN7We1z586hd+/eGD9+PObOnQtXV1ecPn0a9erVkzoKERGR2XByZA3dr6x2u3bt8MEHH+CZZ57BwoUL9cc8/vjj1T6PW32uGqkmDezqxg+MJcjPK33wQWQWnBxZt1jVkTkOZi2rrdVq8cMPP6Bly5YYOHAgGjdujG7duiEmJkbOGERERCQRs5bVzs7ORmFhIRYsWIBPP/0UUVFRiIuLwwsvvICEhAQEBgYabc9YdcyBLR+BHWtVqIbNmcQHH0RmYWMnz/r0RHR/deVShSyv8nZZ7cOHD+Ptt9/GmDFj8Mcff0CrvTXDOCQkBFOnToW/vz9mzpyJ5557DmvWrKmyPWPVMbeu4bK6RESkHkpUx1SCLCMOt8tqA0BAQACSkpKwbNkyLF++HDY2Nmjbtq3B8W3atMEvv/xSZXvGqmP+cilf+uBEREQ1xHUcJHS7rLadnR26du2K1NRUg8fT0tLg4+NT5fONVcf89niaLFmpZno35O20amFt3UbpCKRzs6hc6QhEkjNrWW0AmD59OkaMGIE+ffqgb9++iIuLw/fff499+/ZJHYWIiMhsLOEygxTMXlb7+eefx5o1axAZGYnJkyejVatW2L59O3r37l2t8xxLviJ1dKqFCzNHKh2BdCpPH1c6Aunwdsy6hR2HGnpQWW0AeO211/Daa69JfWoiIiKSmcXWqiAiIlITK444qNvLz7RSOgLdwa/kvNIRSMfRgcPjasEiV3VLXbmrom68SiIiIpKE7CMOkZGRmDVrFqZMmYKlS5eivLwcs2fPxq5du3D+/Hm4urqif//+WLBgAby8vExu91phmYypqbpEbrbSEUinuIQrR6qFxyP8LOqSujI5UtZXmZSUhHXr1qFjx476fcXFxUhJScGHH36IlJQU7NixA2lpaRgyZIicUYiIiGTFlSNrqbCwEKNHj8b69evx6aef6ve7uroiPj7e4Njly5fjySefRGZmJry9veWKRERERLUkW8fhnXfewbPPPov+/fsbdByMycvLg0ajQYMGDUxuf/+xP2uZkKTUYT9XyFMLD28OjxMpoa5MjpSl47B161akpKQgKSnpgcfevHkTM2fOxKhRo+Di4iJHHCIiItlZWVsrHcEsJO84XLp0CVOmTMGePXtQr169+x5bXl6OkSNHQqvVYtWqVVUeZ6ysdnF+MaxseNuZWhyf/7TSEUhn0JqjSkcgHU7irlssYX6CFCR/lcnJycjJyUGXLl1gY2MDGxsbJCYm4vPPP4eNjQ0qKysB3Oo0DB8+HBkZGYiPj7/vaIOxstrXkv4rdXQiIiJ6AMlHHPr164eTJ08a7Bs3bhxat26NGTNmwNraWt9pSE9PR0JCAtzd3e/bprGy2uFx6bCxtZM6PtWQzZlEpSOQTgPnBkpHIJ2+bRorHYHMqK6MOEjecXB2dkb79u0N9tWvXx/u7u5o3749Kioq8NJLLyElJQU7d+5EZWUlsrNvrQHg5uYGO7t7OwPGymqz00BERGrCyZEy+fPPPxEbGwsA8Pf3N3gsISEBQUFB5o5EREREJjJLx2Hfvn36f/v6+kIIUes23Z044qAmOT98p3QE0mnS+i2lI5BOenah0hHIjHipgoiIiEzGjoPKJWVcVzoC3WH4G1FKRyCdtG2/KR2BdBq62D/4ICILY7EdByIiIjXh5EgiIiIymcaKK0dK4u6y2sCtAlgzZ85ETEwMrl27Bl9fX0yePBlvv/22ye12beYmU2KqCZf1M5SOQDrOnmOUjkA6XDmSHkaydhyMldUGgKlTpyIhIQGbN2+Gr68v9uzZg4kTJ8LLywshISFyRiIiIpIHRxxqp6qy2gBw6NAhjBkzRr9mw5tvvom1a9fi2LFjJnccdh25JHVkqoX331uidATSKVh/TOkIpKOx0igdgcypjsxxkO1V3llW+269e/dGbGwsLl++DCEEEhISkJaWhoEDB8oVh4iISFYaa2tJNrVTpKz2559/jjfeeANNmzaFjY0NrKys8MUXX6B3795yxCEiIiKJKFJW+/PPP8fhw4cRGxsLHx8f7N+/HxMnTkSTJk2MjlAYK6v9ej9f2NrxHmm1KNsaqXQE0rG3G6R0BNIpq9AqHYHMqY7McTB7We2ioiLMmjULS5YsweDBg9GxY0dMmjQJI0aMwOLFi422aays9s4NK6WOTkREVHNW1tJsKmf2stqVlZUoLy+H1V2TSKytraHVGu+dV1VWOyXzhqTZqeZeHvym0hFIp3RLhtIRSIeTI+lhZPay2gAQGBiI6dOnw8HBAT4+PkhMTMTXX3+NJUuMz8xnWW0iIlI7rhwpo61btyI8PByjR4/G9evX4ePjg3nz5uGtt1jVj4iILJQFXGaQgkZIUeNaAcXbOBlPTayGhCkdgXSsSnKVjkA6ZfUeUToC6Tg5Osh+jptx6yRpp94gdV/6Za0KIiIiKdSREQeL7TjYPfWC0hHoDhVKByA9YeuodATSsdWyVoV6yD/iUFfmONSNV0lERESSsNgRByIiIlXhpYqaiYiIwNy5cw32eXh4IDs7+55jJ0yYgHXr1uGzzz5DWFhYtc5TnrK3NjFJYnlPjVU6Aum4l1xTOgLpaJ0aKh2BzIkdh5pr164d9u79v1/s1kaKdsTExODIkSPw8vKSIwIREZFZWUKBKinI0nGwsbGBp6dnlY9fvnwZkyZNwu7du/Hss8/W6By/thpe03gkg3cjflI6Aunsn3tvvRdShqi0yLvdH0qNlQ7wEJFlcmR6ejq8vLzQrFkzjBw5EufPn9c/ptVqERoaiunTp6Ndu3ZynJ6IiMj8rKyk2VRO8oTdunXD119/jd27d2P9+vXIzs5Gz549ce3areuuUVFRsLGxweTJk6U+NRERkXJY5KpmgoOD9f/u0KEDevTogebNm2PTpk0IDAzEsmXLkJKSAo3G9OIvxspq99RmwN6e9SrUYs7YLkpHIB1XUax0BNIR1rZKRyCSnOxjIvXr10eHDh2Qnp6OAwcOICcnB97e3vqS2xcvXsR7770HX1/fKtswVlZ7weqv5I5ORERkMo2VtSSb2sleq6K0tBTNmzfHm2++iXfeeQdZWVkGjw8cOBChoaEYN24cWrVqVWUbd484nLteCru7KmaSck7mFCgdgXSef7y+0hFIJ0/LEQe1aOwq/89FeVKsJO3Ydh1SreP379+PRYsWITk5GVlZWYiOjsbQoUMlyWKM5Jcq/vGPf2Dw4MHw9vZGTk4OPv30U+Tn52PMmDFwd3eHu7u7wfG2trbw9PSsstMAGC+rbVeUL3V0IiIii1NUVIROnTph3LhxePHFF2U/n+Qdhz///BMvv/wyrl69ikaNGqF79+44fPgwfHx8pD4VERGRaih1mSE4ONhgfqHcJO84bN26tVrHX7hwoUbn8bPliIOa+D2qdALSK+fkSLVooHQAuoMZLuFJ1HEwdnne2Mi7UtR/wygREVEdYuyGgMjISKVj6VlskavxcffWviDlpF+4oXQE0lk5JkDpCESq08XNDCeRaPGm8PBwTJs2zWCfWkYbAAvuOBAREamJVLUq1HRZwhiL7ThsDChROgLd4Zce/kpHIJ0OLhVKRyCdG3BQOgKZkwWswSAFWeY4XL58Ga+88grc3d3h6OgIf39/JCcn6x8XQiAiIgJeXl5wcHBAUFAQTp06JUcUIiKih1phYSFOnDiBEydOAAAyMjJw4sQJZGZmynI+yTsOubm56NWrF2xtbfHjjz/ijz/+wD//+U80aNBAf8zChQuxZMkSrFixAklJSfD09MTTTz+NggIuIkRERBZKoVoVx44dQ+fOndG5c2cAwLRp09C5c2d89NFHUr9CADKsHDlz5kz8+uuvOHDggNHHhRDw8vJCWFgYZsyYAeDWrSceHh6IiorChAkTTDrPsl/PP/ggMpuyCq3SEUjnlU5NlI5AOs52vHFNLZwc5b9spE37VZJ2rFr2kqQduUj+XR0bG4uAgAAMGzYMjRs3RufOnbF+/Xr94xkZGcjOzsaAAQP0++zt7REYGIiDBw9KHYeIiIgkJPnkyPPnz2P16tWYNm0aZs2ahaNHj2Ly5Mmwt7fHq6++iuzsW7dRenh4GDzPw8MDFy9eNP08OUWS5qbaWf3xZ0pHIJ1nf1yqdATSuVJQrnQE0ulihhGHujI5UvKOg1arRUBAAObPnw8A6Ny5M06dOoXVq1fj1Vdf1R93d1ltIUSVpbaNraJVUV4GG1uW1SYiIpXQ1I1LU5K/yiZNmqBt27YG+9q0aaOf3enp6QkA+pGH23Jycu4ZhbjN2Cpax7Z/IXV0IiIiegDJRxx69eqF1NRUg31paWn6IlfNmjWDp6cn4uPj9TNAy8rKkJiYiKioKKNtGltF62pxhaoXyKhr3u65VOkIpPOoM0s5q4WdtkzpCGROdWTEQfKOw9SpU9GzZ0/Mnz8fw4cPx9GjR7Fu3TqsW7cOwK1LFGFhYZg/fz78/Pzg5+eH+fPnw9HREaNGjTLaprFVtAoqOceBiIjUQ7DjUDNdu3ZFdHQ0wsPD8fHHH6NZs2ZYunQpRo8erT/m/fffR0lJCSZOnIjc3Fx069YNe/bsgbOzs8nncbAxPh+ClNF98g6lI5BOysrhSkcgnbQ8Se92p1ro4qR0goeH5Os4mMv1ApYOVpNOE/+tdATSYcdBPTLzeKlCLbo81kD2c1ReOCFJO9a+/pK0IxeLrVVBRESkKlXcGfiwsdgRh5KbN5WOQHc4erlQ6Qik0+MR/pWrFmX1HlE6AumYY+XIyksnJWnH+rEOkrQjl7oxk4OIiIgkYbGXKn7PYVltImMuVpg+yZjk5VrOGi5qYY65kXXlrgpFymoDwOnTpzFkyBC4urrC2dkZ3bt3l60EKBERkew0VtJsKif5iMPtstp9+/bFjz/+iMaNG+PcuXMGZbXPnTuH3r17Y/z48Zg7dy5cXV1x+vRp1KtXT+o4REREJCGzl9UGgJEjR8LW1hbffPNNjc9TkfxDjZ9L0rvaIkjpCKTTgAtHqkYFp5GphjkmR1ZcSX3wQSaw8WolSTtyMXtZba1Wix9++AEtW7bEwIED0bhxY3Tr1g0xMTFSRyEiIjKfOnKpQvIRh9uXG6ZNm4Zhw4bh6NGjCAsLw9q1a/VltZs0aQJHR0d8+umn6Nu3L+Li4jBr1iwkJCQgMDDwnjaNVcc8+Vcx7FirQjWc7etGOVlL0MyRE/JUo47c128J7J1cZT9HRVa6JO3YNPGTpB25SN5xsLOzQ0BAAA4ePKjfN3nyZCQlJeHQoUO4cuUKHn30Ubz88svYsmWL/pghQ4agfv36+Pbbb+9pMyIiAnPnzjXY93rY+3hz6kwpo1MtsOOgHuw4qAg7Dqphjo5DefY5Sdqx9WwuSTtyMXtZ7YYNG8LGxua+x9wtPDwceXl5BtvYiVOljk5ERFRzdeRShdnLatvZ2aFr1673PeZuxqpjNiljT15Ntp/6S+kIpDP+CS+lI5BORi5X8VQLFrmSjtnLagPA9OnTMWLECPTp00c/x+H777/Hvn37pI5DRERkHnXk0pQstSp27tyJ8PBwpKeno1mzZpg2bRreeOMNg2O++uorREZG4s8//0SrVq0wd+5chISEmHyO0oIbEqem2mgxMUbpCKRzdtVQpSPQbXXkF4klMMsch7+lWcTQtpG3JO3IxWKLXLHjoC7sOKgHOw4qwo6Dapij41B29U9J2rFr2FSSduSi/lkYREREpBoWW+Tqf7kWOVDy0OrQq6XSEUjneiWXjlSLvNJKpSOQTmtzTI60qht/i1tsx4GIiEhVLOBWSilIPsfB19cXFy9evGf/xIkTsXTpUsyePRu7du3C+fPn4erqiv79+2PBggXw8qreLWSXc4ukikwScK9XN35gLIF1AW+NVQur4htKRyAda19/2c9RlpstSTt2j3hK0o5cJP/fPikpCVlZWfotPj4eADBs2DAUFxcjJSUFH374IVJSUrBjxw6kpaVhyJAhUscgIiIyrzqyAJTsd1WEhYVh586dSE9Ph8bIDOOkpCQ8+eSTuHjxIry9Tb8FpeTmTSljUi19l3pN6Qik06/ZI0pHIB0LvWntodTYtb7s5yjLuypJO3auDSVpRy6ydm3KysqwefNmvPbaa0Y7DQCQl5cHjUaDBg0ayBmFiIiIJCDr5MiYmBjcuHEDY8eONfr4zZs3MXPmTIwaNQouLi5yRiEiIpKVsIDLDFKQtePw5ZdfIjg42OjEx/LycowcORJarRarVq26bzvGymprCv6+p34FKefrQ9KsmEa196IHL+OphdZJ3UPOJLE60nGQ7VVevHgRe/fuxeuvv37PY+Xl5Rg+fDgyMjIQHx//wNGGyMhIuLq6GmwLl62UKzoRERFVQbbJkREREVi7di0uXboEG5v/G9i43WlIT09HQkICGjVq9MC2jI04aIXgiIOKcHKkerzwGJc5VosswUuwauHjLv8KUKWFeZK0Y47lsWtDlksVWq0WGzZswJgxYww6DRUVFXjppZeQkpKCnTt3orKyEtnZt+57dXNzg52dndH2jJXV5l0VRESkKnXkUoUsHYe9e/ciMzMTr732msH+P//8E7GxsQAAf39/g8cSEhIQFBQkRxwiIiLZ1ZXJkRZbHbPiSqrSEegOv5a4Kx2BdJ581ByL8pMpClirQjXMsY7DzWJpVjSu5yh/1tpgrQoiIiIp1JERB4vtOGjyc5SOQHfweKSJ0hFIR6PlX7lq4WhbN36R0C2iioUOHzb8riYiIiKTWeyIAxERkZpY5ozB6pO843C/storV65EYWEhZs6ciZiYGFy7dg2+vr6YPHky3n777WqdpyKbKxWqyYnSx5WOQDrNNeVKRyCdCicPpSOQGWnrSM9B8o5DUlISKiv/7xrr77//jqeffhrDhg0DAEydOhUJCQnYvHkzfH19sWfPHkycOBFeXl4ICQmROg4RERFJSPKOw90rQS5YsADNmzdHYGAgAODQoUMYM2aMfs2GN998E2vXrsWxY8eq1XGwdm4gVWSSgL+ns9IRSEdTflnpCKRTL+9PpSPQbY5+sp+ibow3KFBWu3fv3oiNjcXly5chhEBCQgLS0tIwcOBAOaMQERHJSiuk2dTO7GW1P//8c7zxxhto2rQpbGxsYGVlhS+++AK9e/eWMwoRERFJwOxltT///HMcPnwYsbGx8PHxwf79+zFx4kQ0adIE/fv3N9qOsSJXRT49WeRKRf7KKVY6Auk0a8w1NVSjjtzXbwnMcQuhhS7EXG1mLatdUlKCWbNmYcmSJRg8eDA6duyISZMmYcSIEVi8eHGVbRkrq730n1UfT0REZG68VFFLGzZsQOPGjfHss8/q95WXl6O8vBxWVob9FWtra2i12irbCg8Px7Rp0wz2nbteiqzCCmlDU43958QVpSOQTqNevkpHIJ2S8qr/XyPz6mKGEi4W8DtfEmYtq+3i4oLAwEBMnz4dDg4O8PHxQWJiIr7++mssWbKkyvaMldW2K8qXIzoRERHdh1nLagPA1q1bER4ejtGjR+P69evw8fHBvHnz8NZbb8kRhYiIyCws4TKDFCy2rPbe9L+VjkB3mL3tN6UjkM6/J3ZXOgLpFPNShWq09nCR/Rw5edKU1TZHCfDaYJErIiIiMhmLXBE9ZCrrynipBSgq44hDXVJXPm12HIiIiCRgmRf+q4+XKoiIiMhkko84VFRUICIiAv/617+QnZ2NJk2aYOzYsZg9e/Y96zcAwIQJE7Bu3Tp89tlnCAsLM/k8jz9ST8LUVFsvPuWrdATSqWfDvwfUoqEjV46sS5S8Srhq1SosWrQIWVlZaNeuHZYuXYqnnnpKlnNJ3nGIiorCmjVrsGnTJrRr1w7Hjh3DuHHj4OrqiilTphgcGxMTgyNHjhgsSU1ERGSJlLpJcdu2bQgLC8OqVavQq1cvrF27FsHBwfjjjz/g7e0t+fkk7zgcOnQIISEh+hUjfX198e233+LYsWMGx12+fBmTJk3C7t27DVaXNFUDe2tJ8hI9bBrnnVU6AulUOjdSOgLpmWHpSIUsWbIE48eP15d4WLp0KXbv3o3Vq1cjMjJS8vNJPqbZu3dv/PTTT0hLSwMA/Pbbb/jll1/wzDPP6I/RarUIDQ3F9OnT0a5dO6kjEBERmZ1Woq20tBT5+fkG292FHm8rKytDcnIyBgwYYLB/wIABOHjwoPQvEjJ0HGbMmIGXX34ZrVu3hq2tLTp37oywsDC8/PLL+mOioqJgY2ODyZMnS316IiIiRQghzWassGNVIwdXr15FZWUlPDw8DPZ7eHggOztbltcp+aWKbdu2YfPmzdiyZQvatWuHEydOICwsDF5eXhgzZgySk5OxbNkypKSkQGNiyVljZbX3pF+DrR3LaqvF4NaNlY5AOhWOdeVucgvAstp1ilaiOQ7GCjveXa/pbnf/PhVCmPw7trokH3GYPn06Zs6ciZEjR6JDhw4IDQ3F1KlT9b2lAwcOICcnB97e3rCxsYGNjQ0uXryI9957D76+vkbbNNb72vHFCqmjExERKc7e3h4uLi4GW1Udh4YNG8La2vqe0YWcnJx7RiGkIvmIQ3Fx8X3LZoeGhqJ///4Gjw8cOBChoaEYN26c0TaN9b6Kyiof2AMj83G9lqZ0BNKpcPRVOgLpaMqkqV1AUnCV/QxK3FNhZ2eHLl26ID4+Hs8//7x+f3x8PEJCQmQ5p+Qdh8GDB2PevHnw9vZGu3btcPz4cSxZskRfKdPd3R3u7u4Gz7G1tYWnpydatWpltE1jZbUrCoqljk5ERFRjSq3jMG3aNISGhiIgIAA9evTAunXrkJmZKVvVack7DsuXL8eHH36IiRMnIicnB15eXpgwYQI++ugjSc/jkpYgaXtUO3+3CFI6Aum4lecpHYF0hJ26qxzSw2HEiBG4du0aPv74Y2RlZaF9+/bYtWsXfHx8ZDmfxZbVrkj+QekIdIer7DiohlslOw5qwY6Detg7yX+pIj2nQJJ2/Bo7S9KOXFjkioiISAJaRWY5mJ/Fdhy0Pp2UjkB36Bvxk9IRSOf4vH5KRyCd/HKlE9BtvGFcOhbbcSAiIlITy7zwX30W23H4rZjXDtUkemaQ0hFIp7iSiw6pRx35TUIAlK2OaU6y1N8tKChAWFgYfHx84ODggJ49eyIpKUn/uBACERER8PLygoODA4KCgnDq1Ck5ohAREZGEZOk4vP7664iPj8c333yDkydPYsCAAejfvz8uX74MAFi4cCGWLFmCFStWICkpCZ6ennj66adRUCDNjFQiIiJzk6pWhdpJfjtmSUkJnJ2d8d133xmUy/b398dzzz2HTz75BF5eXggLC8OMGTMA3KpF4eHhgaioKEyYMMGk8+xN/1vK2FRLS35KVzoC6Wwa5a90BNKx0LvdH0qNXeW/vH0yS5pboTs0kf/W0dqQfMShoqIClZWVqFevnsF+BwcH/PLLL8jIyEB2drZBCVB7e3sEBgbKVgKUiIhIbnVlxEHyyZHOzs7o0aMHPvnkE7Rp0wYeHh749ttvceTIEfj5+ekLcRgrAXrx4kWp45CZPN7ISekIpONsYwH/89QRf5Xws6CHjyxzHL755hsIIfDoo4/C3t4en3/+OUaNGgVra2v9MdUpAVpaWor8/HyDrays1OixREREStAKIcmmdrJ0HJo3b47ExEQUFhbi0qVLOHr0KMrLy9GsWTN4enoCQLVKgBorq711zTI5ohMREdVIpVaaTe1kXcehfv36qF+/PnJzc7F7924sXLhQ33mIj49H586dAQBlZWVITExEVFSU0XaMldXWCsGy2irS1IWfhVpYlZcoHYF03B243gw9fGTpOOzevRtCCLRq1Qpnz57F9OnT0apVK4wbNw4ajQZhYWGYP38+/Pz84Ofnh/nz58PR0RGjRo0y2p6xstolN2/KEZ2IiKhGLOEygxRk6Tjk5eUhPDwcf/75J9zc3PDiiy9i3rx5sLW1BQC8//77KCkpwcSJE5Gbm4tu3bphz549cHY2vSJYViEXgVeTFb9cUDoC6cx5uoXSEUinuKRS6Qik4+Qo/zkq60jHwWLLap+/ysWi1GRJYobSEUiHHQf1KC63gAvWdYSPu/x3fh2+eF2Sdrr7uEnSjlwstlYFERGRmvBShcotO3BB6Qh0h594qUI1xj3prXQEItXxcZf/HJZwR4QUZLkdk4iIiB5OFjvi8EqXpkpHoDs0dXNQOgLptHTnrbFqUcI5DnVKXblUoUhZbQA4ffo0hgwZAldXVzg7O6N79+7IzMyUIw4REZHsKoWQZFM7Rcpqnzt3Dr1790br1q2xb98+/Pbbb/jwww/vKYxFRERkKbRCmk3tzF5W+9NPP8XIkSNha2uLb775psbnOZWVL0Vckog1Z8uoxqPOtkpHIJ3rXMdBNcxxO+be9L8laae/XyNJ2pGL2ctqa7Va/PDDD2jZsiUGDhyIxo0bo1u3boiJiZE6ChERkdlUaoUkm9qZvax2Tk4OCgsLsWDBAnz66aeIiopCXFwcXnjhBSQkJCAwMPCeNktLS1FaalgNs6y0FHasVaEafxWWKR2BdDjioB4ONsYr/tLDiZMja+F+ZbW12luzjENCQjB16lT4+/tj5syZeO6557BmzRqj7Rmrjrl++RI5ohMREdF9mL2sdsOGDWFjY4O2bdsaPKdNmzZV3lURHh6OvLw8g+2Nd6cZPZaIiEgJlUKaTe3MXlbbzs4OXbt2RWpqqsGxaWlp8PHxMdqOseqYbTU3APAeabW4Wqx0ArrNxorD40RKqCuXKsxeVhsApk+fjhEjRqBPnz7o27cv4uLi8P3332Pfvn1yxCEiIiKJKFJW+/nnn8eaNWsQGRmJyZMno1WrVti+fTt69+5t8jmiDv8lR3SqocPnrikdgXSm9GV1TLXwacC1adSisav857CEOyKkYLFltT+OT33wQWQ27DioBzsO6sGOg3q09nCR/RzbT16RpJ0XO3hJ0o5cLLZWxYvtmygdge7QsrH8i6uQabp68bNQi4o68hco1S0W23EgIiJSE0u4I0IK7DgQERFJgHdVVGH//v1YtGgRkpOTkZWVhejoaAwdOlT/uBACc+fOxbp165Cbm4tu3bph5cqVaNeuHQDg+vXrmDNnDvbs2YNLly6hYcOGGDp0KD755BO4upo+e8XPlrUq1MTvUaUT0G3aA5uUjkA615JOKB2BbpuzVvZTaOvIpalqLwBVVFSETp06YcWKFUYfX7hwIZYsWYIVK1YgKSkJnp6eePrpp1FQUAAAuHLlCq5cuYLFixfj5MmT2LhxI+Li4jB+/PjavRIiIiKSXa3uqtBoNAYjDkIIeHl5ISwsDDNmzABwq86Eh4cHoqKiMGHCBKPt/Oc//8Err7yCoqIi2NiYNghy/mpBTWOTDLaf4u2xajHNt0jpCHRbCUdG1cK69VOyn+OblD8laSf0iaaStCMXSZeczsjIQHZ2NgYMGKDfZ29vj8DAQBw8eLDK5+Xl5cHFxcXkTgMREZHaaIWQZFM7STsO2dnZAAAPDw+D/R4eHvrH7nbt2jV88sknVY5GEBERkXrI8ie+RmO4Vr4Q4p59AJCfn49nn30Wbdu2xZw5c6psz1hZ7frbPoW9LUco1GJwyEylI5BO+W//UToC6WhsWOJcLcxxqaLSAkYLpCDpiIOnpycA3DO6kJOTc88oREFBAQYNGgQnJydER0frl6M2xlhZ7c/iDkkZnYiIqFa0WiHJpnaS/snerFkzeHp6Ij4+Hp07dwYAlJWVITExEVFRUfrj8vPzMXDgQNjb2yM2Nhb16t1/Wdbw8HBMm2ZYRltT8Pc9FTNJOX/llSkdgXSaP9JI6QikY9XIW+kIRJKrdsehsLAQZ8+e1X+dkZGBEydOwM3NDd7e3ggLC8P8+fPh5+cHPz8/zJ8/H46Ojhg1ahSAWyMNAwYMQHFxMTZv3oz8/Hzk59+aedyoUSNYW1vfc05jZbXLyjhbmYiI1IMrR1bh2LFj6Nu3r/7r2yMBY8aMwcaNG/H++++jpKQEEydO1C8AtWfPHjg7OwMAkpOTceTIEQBAixaGxXgyMjLg6+tb09dCRESkGEu4I0IKFlsds/LCCaUj0B3SHR5XOgLpNDv9vdIRSEebz6qxauEwZLLs51h9+IIk7bzd3VeSduTC2xKIiIgkUFfuqrDYjsOJd6crHYHuUP+L7UpHIJ3848eUjkA6Lp06Kx2BzKjSAu6IkILFdhyIiIjUpK50HCRdx4GIiIgebmYvqw3cWiBq+vTpiI+PR0FBAVq1aoVZs2bhpZdeMjnH0hGR1Y1OMroW/bvSEUgn+vWqV2El87Iu/FvpCGRGHHGoQm3LagNAaGgoUlNTERsbi5MnT+KFF17AiBEjcPz48Zq/EiIiIgVVaoUkm9opUlbbyckJq1evRmhoqL4td3d3LFy4EOPHjzfp3Jdmm3Ycmcf5cVEPPojMosvhVUpHIB2HXkOUjkA61r7+sp9jQUK6JO3M7OsnSTtyUaSsdu/evbFt2zZcv34dWq0WW7duRWlpKYKCgqSMQ0REZDZ1ZcRB0rsq7ldW++LFi/qvt23bhhEjRsDd3R02NjZwdHREdHQ0mjdvLmUcIiIis7GEX/pSUKSs9uzZs5Gbm4u9e/eiYcOGiImJwbBhw3DgwAF06NDhnvaMldV2e3Yw7O1YslYtJsSnKR2BdKJbswNORPIxe1ntc+fOYcWKFfjqq6/Qr18/dOrUCXPmzEFAQABWrlxptF1jZbWjNvxbyuhERES1wksVNWBKWe3i4mIAgJWVYZ/F2toaWq3WaLvGymrnrQrH9YQ9UsanWtjRvt2DDyKz0N4oUjoC6WRv2q90BNJ5dM5a2c9hCb/0pWD2stqtW7dGixYtMGHCBCxevBju7u6IiYlBfHw8du7cafScxspq37ThopdERETVMW/ePPzwww84ceIE7OzscOPGjWq3Yfay2ra2tti1axdmzpyJwYMHo7CwEC1atMCmTZvwzDPPVPsFEBERqYEljDiUlZVh2LBh6NGjB7788ssatcGy2iSJco9WSkcgHdscTlRVC23OxQcfRGZh21X+NTXe//6UJO0sHCz/pd+NGzciLCzMPCMOREREdK8KiUYcjN1JaOySvVIstuMg7ByUjkB3WH70stIRSOe9R0uUjkA6Vs6PKB2BLFBkZCTmzp1rsG/OnDmIiIhQJtBdWB2TiIhIAlLdjhkeHo68vDyDLTw8vMrzRkREQKPR3Hc7duyYZK/TYkcciIiI1ESqyZHVvSwxadIkjBw58r7H+Pr61jLV/5G8rPaOHTuwdu1aJCcn49q1azh+/Dj8/f2NtiWEwDPPPIO4uLh72nmQyjTpek9Ue4PbDFY6Aulos88rHYF0Kq9lP/ggMgvr1k8pHUE2DRs2RMOGDc12PsnLahcVFaFXr15YsGDBA9taunTpPctTExERWaJKISTZ5JSZmYkTJ04gMzMTlZWVOHHiBE6cOIHCwkKT26j2iENwcDCCg4OrfPx2qewLFy7ct53ffvsNS5YsQVJSEpo0aVLdGDjbin/hqsn06N+VjkA6sYMfUzoC6ViV3VQ6ApmRJazj8NFHH2HTpk36r2+v8pyQkGByhWpFJkcWFxfj5ZdfxooVK/T1LYiIiEheGzduhBDins3UTgOg0OTIqVOnomfPnggJCalxGw62vMShJq/28FE6AuloKq4qHYF0bhxKVDoC6TQ0wwJQljDiIAWzdxxiY2Px888/4/jx4yY/x9hiGKWlZapZDIOIiKiudBzMfqni559/xrlz59CgQQPY2NjARles6sUXX6xyqMRYWe01y/5pxtREREQEKDDiMHPmTLz++usG+zp06IDPPvsMgwcbn/BorKy29bWLsC+7IltOqh6vlt5KRyAdzeVLSkcgnXrurkpHIDOq1GqVjmAWkpfVvn79OjIzM3Hlyq1f6qmpqQAAT09Pg+1u3t7eaNasmdFzGlsMo6LQrrrRiYiIZFNXLlVIXlY7NjYW48aN0z9+ezUrqdfZ1pRxPX41uZBfrnQE0mlRlK90BNJx6CX/hDxSD3YcqhAUFIT7VeIeO3Ysxo4dW602LbSyNxERUZ3DWhVEREQSkKqsttpZbMfh8CvvKh2B7tBsUHulI5DO39YseqsWDdq1UjoC6Tj4+st+jrpyqYL/wxAREZHJLHbEgdRlfpu3lY5AOu8f+0zpCKRTWXBD6QhkRhxxqML+/fsxePBgeHl5QaPRICYmRv9YeXk5ZsyYgQ4dOqB+/frw8vLCq6++qr8187bS0lK8++67aNiwIerXr48hQ4bgzz//rPWLISIiUkqlVkiyqZ2kZbWLi4uRkpKCDz/8ECkpKdixYwfS0tIwZIjhLUlhYWGIjo7G1q1b8csvv6CwsBDPPfccKisra/5KiIiISHYaUYt7ITUaDaKjozF06NAqj0lKSsKTTz6JixcvwtvbG3l5eWjUqBG++eYbjBgxAgBw5coVPPbYY9i1axcGDhxo0rmvFxTXNDbJoNPEfysdgXQyFnRTOgLpVLp6KR2BdOyd5F/Fc+CqXyVpZ/fEXpK0IxfZJ0fm5eVBo9GgQYMGAIDk5GSUl5djwIAB+mO8vLzQvn17HDx4UO44REREsqgrlypknRx58+ZNzJw5E6NGjYKLiwsAIDs7G3Z2dnjkkUcMjvXw8EB2drbRdoxVx7T66SvY29rKE5yqLX3da0pHIB3tiV1KRyCd8vP/UToC6diP/kjpCA8N2UYcysvLMXLkSGi1WqxateqBxwshoNFojD5mrDrmov/skToyERFRjQmtkGRTO1k6DuXl5Rg+fDgyMjIQHx+vH20AbhW7KisrQ25ursFzcnJy4OHhYbS98PBw5OXlGWzThw0weiwREZEStFohyaZ2kl+quN1pSE9PR0JCAtzd3Q0e79KlC2xtbREfH4/hw4cDALKysvD7779j4cKFRts0Vh0zqcsYqaNTLZxLu650BNJ5sZm/0hFIx96Gl1PrkrpSd0nSstpeXl546aWXkJKSgp07d6KyslI/b8HNzQ12dnZwdXXF+PHj8d5778Hd3R1ubm74xz/+gQ4dOqB///7SvTIiIiKSnKRltSMiIhAbGwsA8Pf3N3heQkICgoKCAACfffYZbGxsMHz4cJSUlKBfv37YuHEjrK2tTc5RNorlalVl5ValE5DO1Q1LlI5AOg37m3Z7OT0cLGF+ghQkL6ttylBNvXr1sHz5cixfvry6pyciIlIlS5ifIAUWuSIiIiKTWWyRq64x3yodge5w8FSJ0hFIp+G4aUpHIB2rmwVKRyAzElqlE5iHxXYciIiI1IR3VVRh//79WLRoEZKTk5GVlWVQq6K8vByzZ8/Grl27cP78ebi6uqJ///5YsGABvLwM12w/dOgQPvjgAxw5cgS2trbw9/fHjz/+CAcHB5NyWF38rbrRSUZT2nVSOgLpiPQjSkcgnYqSIqUjkI61r7/SER4ailTHPHToEAYNGoQBAwbg6NGjSEpKwqRJk2BlxSkXRERkmbgAVBWCg4MRHBxs9DFXV1fEx8cb7Fu+fDmefPJJZGZmwtvbGwAwdepUTJ48GTNnztQf5+fnV90oREREqsHbMSVyd3XMnJwcHDlyBKNHj0bPnj1x7tw5tG7dGvPmzUPv3r1Nbvd6AmtVqInLO/9P6Qh0W26O0glIx7ZtD6UjkBnVlY6DrNcGjFXHPH/+PAAgIiICb7zxBuLi4vDEE0+gX79+SE9PlzMOERER1ZJsIw5VVcfUam/drzJhwgSMGzcOANC5c2f89NNP+OqrrxAZGXlPW8bKatcbO+ue+hWknGjWqlCNFwOMX0okBRTfUDoBmZG2jtxVYfbqmE2aNAEAtG3b1uA5bdq0QWZmptH2jJXVXvjPz+SITkREVCN1pay22atj+vr6wsvLC6mpqQb709LSqpx0GR4erq+JcZtWCGhtOeKgFv6evCNGNbR/K52AiB5iZq+OqdFoMH36dMyZMwedOnWCv78/Nm3ahDNnzuC///2v0XMaK6tdcvNmdaMTERHJxhJGC6SgSHXMsLAw3Lx5E1OnTsX169fRqVMnxMfHo3nz5jV8GURERMqyhDUYpKARFrpGZsWV1AcfRGbz37+dlI5AOi+WJSsdgXS0BTeUjkA69v/vVdnP0fmDHyVp5/g8dU9wZq0KIiIiCVjo3+HVZrEdh+tbVj34IDIb/9BPlI5AOtrTrMioFhr//kpHIDOqK9UxORWeiIiITGaxIw5ERERqUlcmR0paVhu4tZT01q1bcenSJdjZ2aFLly6YN28eunXrBgC4fv065syZgz179uDSpUto2LAhhg4dik8++QSurq4m58i/kFXd6CSjE9kcHlcLnxusVaEWdjnnlI5At7l5yX6KunI7pqRltQGgZcuWWLFiBU6ePIlffvkFvr6+GDBgAP7++9aiNFeuXMGVK1ewePFinDx5Ehs3bkRcXBzGjx9fu1dCRESkoLqycmStbsfUaDT3jDjcLT8/H66urti7dy/69etn9Jj//Oc/eOWVV1BUVAQbG9MGQX54rGNNIpNMOk/opXQE0qnfxP3BB5FZOHZ8UukIpGPbdYjs52g37XtJ2jm1ZLAk7chF1jkOZWVlWLduHVxdXdGpU6cqj8vLy4OLi4vJnQYiIiK1qStFrmT5Tb1z506MHDkSxcXFaNKkCeLj49GwYUOjx167dg2ffPIJJkyYIEcUIiIis7CEywxSkKXj0LdvX5w4cQJXr17F+vXrMXz4cBw5cgSNGzc2OC4/Px/PPvss2rZtizlz5lTZnrGy2kH7/wV7ezs54lMNcOVI9eDKkepRkXVB6QikY6t0gIeILOs41K9fHy1atED37t3x5ZdfwsbGBl9++aXBMQUFBRg0aBCcnJwQHR0NW9uqP1ZjZbWjVqyVIzoREVGN1JXJkWaZVCCEMBgxyM/Px8CBA2Fvb4/Y2FjUq1fvvs83VlZbU/A3tHYsq010N6vGPkpHIB2rNoFKRyAz4joOVbhfWW13d3fMmzcPQ4YMQZMmTXDt2jWsWrUKf/75J4YNGwbg1kjDgAEDUFxcjM2bNyM/Px/5+fkAgEaNGsHa2vqecxorq11Wll/d6ERERFRLkpbVXrNmDc6cOYNNmzbh6tWrcHd3R9euXXHgwAG0a9cOAJCcnIwjR44AAFq0aGHQdkZGBnx9fWv6WoiIiBTDIldVCAoKuu+bs2PHjlo931SVTsbv0iBl/HI2TekIpPOi90WlI5BOeaOWSkcgHXNc2LaE+QlSYJErIiIiMpnFrriU0v9ppSPQHSZt/0HpCKRTcegnpSPQbWknlE5At43+SPZTcHIkERERmUxoK5WOYBbsOBAREUmAHYcq1LasNgBkZ2dj+vTpiI+PR0FBAVq1aoVZs2bhpZdeMjlH15hvqxudZGRdeF7pCKSjfbS50hFIp+hQotIRSIdr20rH7GW1ASA0NBSpqamIjY3FyZMn8cILL2DEiBE4fvx4zV8JERGRgoS2UpJNLhcuXMD48ePRrFkzODg4oHnz5pgzZw7Kysqq1Y4iZbWdnJywevVqhIaG6o9zd3fHwoULMX78eJPOXXEltaaxSQZX6zdVOgLpNLzwq9IRSEfj2vjBB5FZWPv6y36Ox0I3StLOpW/GStLO3eLi4rBt2za8/PLLaNGiBX7//Xe88cYbCA0NxeLFi01uR5Gy2r1798a2bdvw7LPPokGDBvj3v/+N0tJSBAUFyRmHiIiozho0aBAGDRqk//rxxx9HamoqVq9erXzH4UFltbdt24YRI0bA3d0dNjY2cHR0RHR0NJo357VZIiKyTJY4OTIvLw9ubm7Veo4iZbVnz56N3Nxc7N27Fw0bNkRMTAyGDRuGAwcOoEOHDve0Z6ysdpFd43vqV5BybhRXKB2BdNybcLVCtdAU31A6ApmRVB0HY7/zjNVsqq1z585h+fLl+Oc//1mt55m9rPa5c+ewYsUKfPXVV+jXrx86deqEOXPmICAgACtXrjTanrGy2kv/afqwChERkaUw9jsvMjKyyuMjIiKg0Wjuux07dszgOVeuXMGgQYMwbNgwvP7669XKZ/ay2sXFxQAAKyvDPou1tTW0Wq3R5xsrq6396SvYJ26QIS3VRIOnxiodgXSsLl9QOgLpVGRnKh2BdMwxOVKqEQdjv/PuN9owadIkjBw58r5t3llA8sqVK+jbty969OiBdevWVTuf2ctqt27dGi1atMCECROwePFiuLu7IyYmBvHx8di5c6fRcxoboimxta1udCIiItlI1XGo7mWJhg0bGswjvJ/Lly+jb9++6NKlCzZs2HDPH/GmMHtZbVtbW+zatQszZ87E4MGDUVhYiBYtWmDTpk145plnTM5h28S3utGJ6gRtUb7SEUin4PfflI5AOvb/T+kEyrty5QqCgoLg7e2NxYsXG6yv5OnpaXI7Zi+rDQB+fn7Yvn17dU9NRESkWmq/q2LPnj04e/Yszp49i6ZNDdfeqc6STiyrTUREJAGttlKSTS5jx46FEMLoVh0WW+SqPOuC0hHoTi2UDkC3WTX2UToC6dRzd1U6ApmR2kccpMIRByIiIjKZxY44ZHV/VekIdIftJ7KUjkA603yVTkC3OXTp++CD6KHBEYcq7N+/H4MHD4aXlxc0Gg1iYmKqPHbChAnQaDRYunSp0ceFEAgODn5gO0RERGonKisl2dRO8rLat8XExODIkSPw8vKq8pilS5dCo9FUNwIREREppNqXKoKDgxEcHHzfYy5fvoxJkyZh9+7dePbZZ40e89tvv2HJkiVISkpCkyZNqhsDj/4eW+3nkHze7faC0hFIp/zAFqUjkE7F35eVjkA6Tq2fkv0cdeVSheRzHLRaLUJDQzF9+nT9ok93Ky4uxssvv4wVK1ZUa9EJIiIitWLHoYaioqJgY2ODyZMnV3nM1KlT0bNnT4SEhNT4PNbODWr8XJKetuia0hHoNv5sqEbeoaNKRyAdJ6UDPEQk7TgkJydj2bJlSElJqXLuQmxsLH7++WccP37c5HaNlRi1LiuHvR3rVRARkTrUlREHSddxOHDgAHJycuDt7Q0bGxvY2Njg4sWLeO+99/SVuX7++WecO3cODRo00B8DAC+++CKCgoKMtmusxGjUhn9LGZ2IiKhWhFYryaZ2GlHdtSbvfLJGg+joaAwdOhQAcO3aNWRlGd7PP3DgQISGhmLcuHFo1aoVsrOzcfXqVYNjOnTogGXLlmHw4MFo1qzZPecxOuJw6meOOKjI2abyTzwi0/gVn33wQWQWJQeNV/wl83Ma/ZHs53D9f7MkaSfv5/mStCMXSctqe3t7w93d3eB4W1tbeHp6olWrVgBuVeAyNiHS29vbaKcBMF5itIKdBiIiUpG6cqlC0rLaGzdulCzYg2h9OpntXPRg0/77u9IRSCd28CNKRyAdrhxZt7DjUIUHldW+24ULFx54TC2ulhAREamCnJUt1YRFroiIiMhkFlvkyrrw6oMPIrNZ8nx7pSOQjoaTI1VDW5CrdATSsTbDOSyhzoQULLbjQEREpCac46ByFe6+SkegO/hdO690BLqtJF/pBKRTmnZC6QikY9t1iNIRHhoW23EgIiJSE444EBERkcnYcVC5qxVcAEpNChweVzoC6fhpMpSOQDoOvTg8Tg8fi+04EBERqUldGXGoVa0Kqp3S0lJERkYiPDz8niW1ybz4WagHPwt14edBd2PHQUH5+flwdXVFXl4eXFxclI5Tp/GzUA9+FurCz4PuxpUjiYiIyGTsOBAREZHJ2HEgIiIik7HjoCB7e3vMmTOHE45UgJ+FevCzUBd+HnQ3To4kIiIik3HEgYiIiEzGjgMRERGZjB0HIiIiMhk7DjIZO3Yshg4datKxQUFBCAsLkzWPqfbt2weNRoMbN24oHUUW1flcqmPjxo1o0KDBfY+JiIiAv7//fY+5cOECNBoNTpw4IVk2NajO95Up76U5+fr6YunSpUrHkIWcP+8ajQYxMTFVPm7q97qa/n+kW9hxqMP4AymdESNGIC0trVrPkasTIye1/VKXkiW/NjVmz8rKQnBwsMnHP+x/tDxMWOSKSAIODg5wcHBQOgaRanh6eiodgWTy0I44/Pe//0WHDh3g4OAAd3d39O/fH0VFRQCADRs2oE2bNqhXrx5at26NVatW6Z93e/hs69at6NmzJ+rVq4d27dph3759+mMqKysxfvx4NGvWDA4ODmjVqhWWLVsmWfaysjK8//77ePTRR1G/fn1069bN4Py3/7rYvXs32rRpAycnJwwaNAhZWVn6YyoqKjB58mQ0aNAA7u7umDFjBsaMGaP/C3fs2LFITEzEsmXLoNFooNFocOHCBf3zk5OTERAQAEdHR/Ts2ROpqamSvDZL+Vy+//57NGjQAFqtFgBw4sQJaDQaTJ8+XX/MhAkT8PLLLwMw/hffggUL4OHhAWdnZ4wfPx43b97UPxYREYFNmzbhu+++07//d76W8+fPo2/fvnB0dESnTp1w6NChGr2OuwUFBWHSpEmYNGmS/ntj9uzZuH1X9v2+9/bt24dx48YhLy9PnzkiIgIAsHnzZgQEBMDZ2Rmenp4YNWoUcnJyJMkM3Po8unTpgnr16uHxxx/H3LlzUVFRoX9co9Hgiy++wPPPPw9HR0f4+fkhNjbWoI3Y2Fj4+fnBwcEBffv2xaZNm/R/4d7vtQFAcXExXnvtNTg7O8Pb2xvr1q2T7LUB6v9chBBo1KgRtm/frt/n7++Pxo0b678+dOgQbG1tUVhYCODeSxVHjx5F586dUa9ePQQEBOD48eP6xy5cuIC+ffsCAB555BFoNBqMHTtW/7hWq8X7778PNzc3eHp6Gnw2pADxELpy5YqwsbERS5YsERkZGeJ///ufWLlypSgoKBDr1q0TTZo0Edu3bxfnz58X27dvF25ubmLjxo1CCCEyMjIEANG0aVPx3//+V/zxxx/i9ddfF87OzuLq1atCCCHKysrERx99JI4ePSrOnz8vNm/eLBwdHcW2bdv0GcaMGSNCQkJMyhsYGCimTJmi/3rUqFGiZ8+eYv/+/eLs2bNi0aJFwt7eXqSlpQkhhNiwYYOwtbUV/fv3F0lJSSI5OVm0adNGjBo1St/Gp59+Ktzc3MSOHTvE6dOnxVtvvSVcXFz0mW7cuCF69Ogh3njjDZGVlSWysrJERUWFSEhIEABEt27dxL59+8SpU6fEU089JXr27FmLT+QWS/pcbty4IaysrMSxY8eEEEIsXbpUNGzYUHTt2lV/TMuWLcXq1auFELc+E1dXV/1j27ZtE3Z2dmL9+vXizJkz4oMPPhDOzs6iU6dOQgghCgoKxPDhw8WgQYP0739paan+dbZu3Vrs3LlTpKamipdeekn4+PiI8vLy2rz9Qohb32tOTk5iypQp4syZM/r3aN26dUKI+3/vlZaWiqVLlwoXFxd95oKCAiGEEF9++aXYtWuXOHfunDh06JDo3r27CA4O1p/39vdVbm7uAzPe/V7GxcUJFxcXsXHjRnHu3DmxZ88e4evrKyIiIvTH3P7e2LJli0hPTxeTJ08WTk5O4tq1a0KIW98/tra24h//+Ic4c+aM+Pbbb8Wjjz6qz3S/1+bj4yPc3NzEypUrRXp6uoiMjBRWVlbi9OnTtf049Czhc3nhhRfEpEmThBBCXL9+Xdja2ooGDRqIU6dOCSGEmD9/vujWrZv+eAAiOjpaCCFEYWGhaNSokRgxYoT4/fffxffffy8ef/xxAUAcP35cVFRUiO3btwsAIjU1VWRlZYkbN27o3xsXFxcREREh0tLSxKZNm4RGoxF79uyp9ftONfNQdhySk5MFAHHhwoV7HnvsscfEli1bDPZ98sknokePHkKI//sFtWDBAv3j5eXlomnTpiIqKqrKc06cOFG8+OKL+q9r2nE4e/as0Gg04vLlywbH9OvXT4SHhwshbv3HCkCcPXtW//jKlSuFh4eH/msPDw+xaNEi/dcVFRXC29vbINPdHRYh/u8/kr179+r3/fDDDwKAKCkpMen1VMXSPpcnnnhCLF68WAghxNChQ8W8efOEnZ2dyM/PF1lZWQKA/pfH3b/sevToId566y2D9rp166bvOFSV5fbr/OKLL/T7Tp06ZXCu2ggMDBRt2rQRWq1Wv2/GjBmiTZs2Jn/v3fk6q3L06FEBQP8LrDYdh6eeekrMnz/f4JhvvvlGNGnSRP81ADF79mz914WFhUKj0Ygff/xR/xrbt29v0MYHH3xgkKmq1+bj4yNeeeUV/ddarVY0btxY32mUgiV8Lp9//rn+PYyJiREBAQHihRdeECtXrhRCCDFgwAAxY8YM/fF3dhzWrl0r3NzcRFFRkf7x1atX6zsO98sSGBgoevfubbCva9euBuci83ooL1V06tQJ/fr1Q4cOHTBs2DCsX78eubm5+Pvvv3Hp0iWMHz8eTk5O+u3TTz/FuXPnDNro0aOH/t82NjYICAjA6dOn9fvWrFmDgIAANGrUCE5OTli/fj0yMzNrnT0lJQVCCLRs2dIgY2JiokFGR0dHNG/eXP91kyZN9EOQeXl5+Ouvv/Dkk0/qH7e2tkaXLl1MztGxY0eDtgHUeujZ0j6XoKAg7Nu3D0IIHDhwACEhIWjfvj1++eUXJCQkwMPDA61btzb63NOnTxtkvTv7g8jx/t/WvXt3aDQag1zp6ek4duyYSd97xhw/fhwhISHw8fGBs7MzgoKCAECSn4nk5GR8/PHHBpneeOMNZGVlobi4WH/cne9Z/fr14ezsrH/PUlNT0bVrV4N27/z5eJA729ZoNPD09JT0Ugyg/s8lKCgIp06dwtWrV5GYmIigoCAEBQUhMTERFRUVOHjwIAIDA40+9/Tp0+jUqRMcHR0NXp+p7nz/AcP/78j8HsrJkdbW1oiPj8fBgwexZ88eLF++HB988AG+//57AMD69evRrVu3e57zILd/qP/9739j6tSp+Oc//4kePXrA2dkZixYtwpEjR2qdXavVwtraGsnJyfdkcnJy0v/b1tb2nmzirtXD7/xPCMA9j9/Pne3fbuf29f6asrTPJSgoCF9++SV+++03WFlZoW3btggMDERiYiJyc3Or/E9SCnK8/6Yw5XvvbkVFRRgwYAAGDBiAzZs3o1GjRsjMzMTAgQNRVlZW60xarRZz587FCy+8cM9j9erV0//b2M/E7fdMCCHZz8PdbZuDGj6X9u3bw93dHYmJiUhMTMTHH3+Mxx57DPPmzUNSUhJKSkrQu3dvo8+tznttjNLvPxl6KDsOwK1vrF69eqFXr1746KOP4OPjg19//RWPPvoozp8/j9GjR9/3+YcPH0afPn0A3JpomJycjEmTJgEADhw4gJ49e2LixIn64x/U8zdV586dUVlZiZycHDz11FM1asPV1RUeHh44evSovo3KykocP37cYB0BOzs7VFZWShHbZJb0ufTp0wcFBQVYunQpAgMDodFoEBgYiMjISOTm5mLKlClVPrdNmzY4fPgwXn31VYPsd1Li/TeW4/Dhw/Dz8zPpe89Y5jNnzuDq1atYsGABHnvsMQDAsWPHJMv7xBNPIDU1FS1atKhxG61bt8auXbsM9t2dUanP4za1fy4ajQZ9+vTBd999h99//x1PPfUUnJ2dUV5ejjVr1uCJJ56As7Oz0ee2bdsW33zzDUpKSvR3Hxn7eQCg6GdApnkoL1UcOXIE8+fPx7Fjx5CZmYkdO3bg77//Rps2bRAREYHIyEgsW7YMaWlpOHnyJDZs2IAlS5YYtLFy5UpER0fjzJkzeOedd5Cbm4vXXnsNANCiRQscO3YMu3fvRlpaGj788EMkJSVJkr1ly5YYPXo0Xn31VezYsQMZGRlISkpCVFTUPf/x3c+7776LyMhIfPfdd0hNTcWUKVOQm5tr8FeXr68vjhw5ggsXLuDq1auy9+At7XNxdXWFv78/Nm/erB/i7dOnD1JSUpCWlqbfZ8yUKVPw1Vdf4auvvkJaWhrmzJmDU6dOGRzj6+uL//3vf0hNTcXVq1dRXl5e46zVcenSJUybNg2pqan49ttvsXz5ckyZMsWk7z1fX18UFhbip59+wtWrV1FcXAxvb2/Y2dlh+fLlOH/+PGJjY/HJJ59Ilvejjz7C119/jYiICJw6dQqnT5/Gtm3bMHv2bJPbmDBhAs6cOYMZM2YgLS0N//73v7Fx40YA/zeiY+y1mZMlfC5BQUHYsmULOnbsCBcXF31n4l//+td9fx5GjRoFKysrjB8/Hn/88Qd27dqFxYsXGxzj4+MDjUaDnTt34u+//9bfnUEqpNjsChn98ccfYuDAgaJRo0bC3t5etGzZUixfvlz/+L/+9S/h7+8v7OzsxCOPPCL69OkjduzYIYT4v8lpW7ZsEd26dRN2dnaiTZs24qefftI//+bNm2Ls2LHC1dVVNGjQQLz99tti5syZD5z4VpW7JynevjvA19dX2NraCk9PT/H888+L//3vf0II4xOhoqOjxZ0fZ3l5uZg0aZJwcXERjzzyiJgxY4YYNmyYGDlypP6Y1NRU0b17d+Hg4CAAiIyMDKMTlI4fP65/vDYs7XMRQoj33ntPABC///67fl+nTp1Eo0aNDCayGftM5s2bJxo2bCicnJzEmDFjxPvvv2+QJScnRzz99NPCyclJABAJCQn613l7wpgQQuTm5uofr63AwEAxceJE/V02jzzyiJg5c6b+tTzoe08IId566y3h7u4uAIg5c+YIIYTYsmWL8PX1Ffb29qJHjx4iNjbWpIlvxhh7L+Pi4kTPnj2Fg4ODcHFxEU8++aT+jgMhDCfi3ebq6io2bNig//q7774TLVq0EPb29iIoKEg/Oe/OSb/GXpuPj4/47LPPDNru1KmT/nEpWMLnIoQQJ0+eFADEP/7xD/2+zz77TAAQO3fuNDj27s/k0KFDolOnTsLOzk74+/vr76K483v9448/Fp6enkKj0YgxY8bo35u7J3GHhIToHyfzY1ntu1y4cAHNmjW7Z1jf0mm1WrRp0wbDhw+X9K9Bc3lYPxdzCwoKgr+//0O7hHJ1zJs3D2vWrMGlS5eUjsLPhSzKQzvHoa67ePEi9uzZg8DAQJSWlmLFihXIyMjAqFGjlI5GpIhVq1aha9eucHd3x6+//opFixbp58cQkekeyjkOapKZmWlwC9XdmxS3qxljZWWFjRs3omvXrujVqxdOnjyJvXv3ok2bNrKcz9Io9bkQEBwcXOX7Pn/+fNnOm56ejpCQELRt2xaffPIJ3nvvPa5AeAelPheyPLxUIbOKigqDpZzv5uvrCxsbDvyYGz8X5Vy+fBklJSVGH3Nzc4Obm5uZExHAz4VMx44DERERmYyXKoiIiMhk7DgQERGRydhxICIiIpOx40BEREQmY8eBiIiITMaOAxEREZmMHQciIiIyGTsOREREZLL/D8Lt99asPsqQAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% standardize the data\n",
    "\n",
    "Z_df = (X_df - X_df.mean())/X_df.std()\n",
    "\n",
    "fig, axs = plt.subplots()\n",
    "\n",
    "h = sns.heatmap(Z_df,cmap='RdBu_r')\n",
    "# h.set_aspect(\"equal\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ecdee2b2-23e9-4cbd-91a8-ebd3fe5af759",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\james\\AppData\\Local\\Temp\\ipykernel_8644\\2876686185.py:8: FutureWarning: The default value of numeric_only in DataFrame.corr is deprecated. In a future version, it will default to False. Select only valid columns or specify the value of numeric_only to silence this warning.\n",
      "  SIGMA = np.array(iris_sns.corr())\n"
     ]
    }
   ],
   "source": [
    "#%% projection \n",
    "\n",
    "s1_ = X_c @ u1\n",
    "t1_ = Y_c @ v1\n",
    "\n",
    "#%% reproduce the results using EVD\n",
    "\n",
    "SIGMA = np.array(iris_sns.corr())\n",
    "\n",
    "#%% eigendecomposition \n",
    "\n",
    "Sigma_XX = SIGMA[0:2,0:2]\n",
    "Sigma_XY = SIGMA[0:2,2:4]\n",
    "Sigma_YX = SIGMA[2:4,0:2]\n",
    "Sigma_YY = SIGMA[2:4,2:4]\n",
    "\n",
    "Sigma_XX_inv = np.linalg.inv(Sigma_XX)\n",
    "Sigma_YY_inv = np.linalg.inv(Sigma_YY)\n",
    "\n",
    "P = Sigma_XX_inv @ Sigma_XY @ Sigma_YY_inv @ Sigma_YX\n",
    "\n",
    "Q = Sigma_YY_inv @ Sigma_YX @ Sigma_XX_inv @ Sigma_XY"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "ef61b249-8782-4de1-9211-43616ba291e9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '$\\\\Sigma_{YX}$')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1200x600 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#%% heatmap of computing P and Q\n",
    "\n",
    "fig, axs = plt.subplots(1, 5, figsize=(12, 6))\n",
    "vmax = 2\n",
    "vmin = -2\n",
    "\n",
    "plt.sca(axs[0])\n",
    "ax = sns.heatmap(P,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$P$')\n",
    "\n",
    "plt.sca(axs[1])\n",
    "ax = sns.heatmap(Sigma_XX_inv,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$\\Sigma_{XX}^{-1}$')\n",
    "\n",
    "plt.sca(axs[2])\n",
    "ax = sns.heatmap(Sigma_XY,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$\\Sigma_{XY}$')\n",
    "\n",
    "plt.sca(axs[3])\n",
    "ax = sns.heatmap(Sigma_YY_inv,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$\\Sigma_{YY}^{-1}$')\n",
    "\n",
    "plt.sca(axs[4])\n",
    "ax = sns.heatmap(Sigma_YX,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$\\Sigma_{YX}$')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b5544669-c1a5-4f73-b257-e141f9c4b396",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '$\\\\Sigma_{XY}$')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1200x600 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 5, figsize=(12, 6))\n",
    "vmax = 2\n",
    "vmin = -2\n",
    "\n",
    "plt.sca(axs[0])\n",
    "ax = sns.heatmap(Q,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$Q$')\n",
    "\n",
    "plt.sca(axs[1])\n",
    "ax = sns.heatmap(Sigma_YY_inv,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$\\Sigma_{YY}^{-1}$')\n",
    "\n",
    "plt.sca(axs[2])\n",
    "ax = sns.heatmap(Sigma_YX,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$\\Sigma_{YX}$')\n",
    "\n",
    "plt.sca(axs[3])\n",
    "ax = sns.heatmap(Sigma_XX_inv,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$\\Sigma_{XX}^{-1}$')\n",
    "\n",
    "plt.sca(axs[4])\n",
    "ax = sns.heatmap(Sigma_XY,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$\\Sigma_{XY}$')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "18d0cdb6-223c-4cbd-b4f1-bdb2dc7d166f",
   "metadata": {},
   "outputs": [],
   "source": [
    "#%% heatmap of eigvalue decomposition\n",
    "\n",
    "Lambda_U, U = np.linalg.eig(P)\n",
    "Lambda_U = np.diag(Lambda_U)\n",
    "U_inv = np.linalg.inv(U)\n",
    "\n",
    "\n",
    "Lambda_V, V = np.linalg.eig(Q)\n",
    "Lambda_V = np.diag(Lambda_V)\n",
    "V_inv = np.linalg.inv(V)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "21d9633e-537c-4226-9507-8f9d59cd8996",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '$U^{-1}$')"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1200x600 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# EVD of P\n",
    "fig, axs = plt.subplots(1, 4, figsize=(12, 6))\n",
    "vmax = 2\n",
    "vmin = -2\n",
    "\n",
    "plt.sca(axs[0])\n",
    "ax = sns.heatmap(P,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$P$')\n",
    "\n",
    "plt.sca(axs[1])\n",
    "ax = sns.heatmap(U,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$U$')\n",
    "\n",
    "plt.sca(axs[2])\n",
    "ax = sns.heatmap(Lambda_U,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$\\Lambda_U$')\n",
    "\n",
    "plt.sca(axs[3])\n",
    "ax = sns.heatmap(U_inv,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$U^{-1}$')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "0c4202ba-ee8b-4bfc-8a3e-a27a24205696",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, '$V^{-1}$')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1200x600 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# EVD of Q\n",
    "fig, axs = plt.subplots(1, 4, figsize=(12, 6))\n",
    "vmax = 2\n",
    "vmin = -2\n",
    "\n",
    "plt.sca(axs[0])\n",
    "ax = sns.heatmap(Q,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$Q$')\n",
    "\n",
    "plt.sca(axs[1])\n",
    "ax = sns.heatmap(V,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$V$')\n",
    "\n",
    "plt.sca(axs[2])\n",
    "ax = sns.heatmap(Lambda_V,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$\\Lambda_V$')\n",
    "\n",
    "plt.sca(axs[3])\n",
    "ax = sns.heatmap(V_inv,cmap='RdBu_r',\n",
    "                 annot=True,fmt='.2f',linecolor='black',\n",
    "                 vmax = vmax, vmin = vmin,\n",
    "                 cbar_kws={\"orientation\": \"horizontal\"})\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.title(r'$V^{-1}$')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
